What is the equation of the graphed line?

y = -x - 3


y = x + 4


y = -x - 6


y = -x + 3

\(f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}\)

This is because

\(h(x)=\sqrt x\)

\(g(x)=x-1\)

\(\implies g(h(x))=\sqrt x-1\)

(that is, replace any instance of x in the definition of g with √x )

and

\(f(x)=x^4+4\)

\(\implies f(\sqrt x-1)=(\sqrt x-1)^4+4\)

(replace any x in f with √x - 1)

Also acceptable:

\((\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4\)

\(=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}\)

(assuming x is not negative)

Answer:

ok so its 170(if there's a decimal 170.6)

Step-by-step explanation:

basically, just divide three and 512. Hope this helps

We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims: The null hypothesis (H0) states that there is no population impact. Alternative hypothesis (Ha or H1): The population is affected.

Given,

Among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease.

Let X be the random variable to determine the proportion of people who have clinical illness.

n: The overall number of people who were exposed to a specific infectious pathogen.

p: The percentage of sample members who have a clinical illness.

Selected subjects who experience clinical disease are the experiment's success.

As a result, the variables are n = 100 and p = 0.30.

It is necessary to determine whether exposure to the agent outcome may be entirely accounted for by coincidence.

A P-value is a probabilistic indicator of the likelihood that an observed outcome effect is accidental.

Using the default level of significance = 0.05, the level of significance is not defined.

One percentage z-test is the best suitable test for the aforementioned assertion.

The alternate and null hypothesis is

H0: p = 0.3

H1:: p ≠ 0.3

Where p is the percentage of the population that develops a clinical illness.

R may be used to calculate the p-value and test statistic.

The instruction is as follows:

x = 20; n = 100; p = 0.3; prop.test

The result looks like this: - The p-value obtained from the output above is 0.03817.

Decision principle:

When significance is 5%,

If the p-value is below 0.05, reject the null hypothesis.

Accept the contrary.

Because the p-value was 0.03817 0.05

The null hypothesis is disproven.

In conclusion:

We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

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Answer: 52.5

Step-by-step explanation: We can divide 50 by 20 to find what the number is. In this problem, the number is 2.5. Since we know this, we can multiply 2.5 and 21 to get 52.5.

hope this helps!

please give brainliest!

Answer:

21st term = 52.5

Step-by-step explanation:

Given that,

→ 20th term of a sequence is 50.

The common difference is,

→ 50 ÷ 20

→ 50/20

→ 2.5

Now the 21st term will be,

→ n × 2.5

→ 21 × 2.5

→ 52.5

Hence, the answer is 52.5.

The lifetime cost of Jenny's refrigerator can be calculated by considering the base cost, monthly payments, electricity consumption, repairs, sales tax, and credit card APR.

The base cost of the refrigerator was $824, and Jenny made regular monthly payments for three and a half years. The total cost of electricity consumption can be found by multiplying the daily cost by the number of days over eight years. The repairs cost $68.75 each time, and sales tax is 7.13%. Taking into account the APR of 10.54% compounded monthly, the lifetime cost of the refrigerator can be determined.

First, calculate the total cost of monthly payments by multiplying the monthly payment by the number of months Jenny made payments. Add this to the base cost of the refrigerator to obtain the total cost of the refrigerator.

Next, determine the total cost of electricity consumption by multiplying the daily cost by the number of days in eight years, accounting for leap years.

Then, calculate the total cost of repairs by multiplying the repair cost by the number of repairs.

To include sales tax, find the sales tax amount by multiplying the total cost of the refrigerator (including monthly payments, repairs, and electricity consumption) by the sales tax rate.

Add the sales tax amount to the total cost of the refrigerator to obtain the pre-APR cost.

Finally, consider the APR by using the compound interest formula to find the final cost of the refrigerator.

By summing up the pre-APR cost and the final APR cost, the lifetime cost of Jenny's refrigerator can be determined.

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Answer:

14x+12

Step-by-step explanation:

6 + 2(7x + 3)

= 6+14x+6

= 14x+12

Answer:

B

Step-by-step explanation:

Answer:

A) 3

Step-by-step explanation:

Slope of line passing through the points (x1, y1) and (x2, y2) is given by,

m =  \(\frac{y2 - y1}{x2 - x1}\)

Therefore slope of line passing through the points (-14, 4) and (-9, 19) is,

m = \(\frac{19 - 4}{-9-(-14)}\)

m = \(\frac{15}{5}\)

m = 3

Answer:

2.8 liters

She drank 2.8 liters all together.

Step-by-step explanation:

0.878+1.2+0.75= 2.8

Nicky drank a total of 2.828 liters of water throughout the day.

To find out how much water Nicky drank altogether, you can add up the amounts of water she drank throughout the day.

0.878 liters after breakfast.

1.2 liters after lunch.

0.75 liters before dinner

Adding these values together:

0.878 + 1.2 + 0.75 = 2.828

Therefore, Nicky drank a total of 2.828 liters of water throughout the day.

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The numbers that do not form a fact family are solved

Given data ,

A fact family consists of a set of related addition and subtraction facts that use the same numbers. For example, the numbers 3, 5, and 8 form a fact family because:

3 + 5 = 8

5 + 3 = 8

8 - 5 = 3

8 - 3 = 5

Numbers that do not form a fact family are any set of numbers that do not follow this pattern. For example, the numbers 2, 4, and 7 do not form a fact family because no combination of addition and subtraction using these numbers produces the other two numbers.

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Answer:

There is no digit in the hundredths place, making this indeditable.

Answer:

it is already rounded to the nearest hundredth

Step-by-step explanation:

the number in the hundredths place would be zero, therefore the rounded number would be as it is (78.5)

Answer:

3

Step-by-step explanation:

Pothagorean theorem:

a² + b² = c²

c = 8

b = √55

a² + 55 = 64

a² = 9

a = 3

Step-by-step explanation:

HERE,

redius of a circle (r)=14 meters.

we know that,

\(\boxed{\red{\sf{circle~ circumference=2\times \pi \times r   }}}\) 

According to the question,

circle circumference=

so, the circumference of that circle is 88 meters.

The degrees of freedom for a two-sample t-test with equal variances depend on the sample sizes of the two populations being compared.

The degrees of freedom for this scenario, we need to first understand the statistical test that would be used to compare the average errors of the two processes.

In this case, the appropriate test would be a two-sample t-test, assuming equal variances.
The formula for calculating the degrees of freedom for a two-sample t-test with equal variances is as follows:

df = n1 + n2 - 2

where n1 and n2 are the sample sizes of the two populations being compared. In this case, since process A is the first population, we can assume that n1 represents the sample size for process A.

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The perimeter on the blueprint is 13 inches.

What is the perimeter of the rectangle?

To find the perimeter of a rectangle, you add up the lengths of all four sides. If the length of one side is labeled "l" and the length of an adjacent side is labeled "w", then the perimeter is:

P = 2l + 2w

To find the perimeter on the blueprint, we need to convert the actual dimensions of the bedroom from feet to inches, using the scale on the blueprint.

Since 1/4 inch on the blueprint represents 1 foot in real life, we can multiply the actual dimensions of the bedroom by 1/4 to get the dimensions on the blueprint in inches:

Length on blueprint = 1/4 * 16 feet = 4 inches

Width on blueprint = 1/4 * 10 feet = 2.5 inches

Now that we have the dimensions on the blueprint in inches, we can find the perimeter on the blueprint by adding up the four sides:

Perimeter on blueprint = 2 * (length on blueprint + width on blueprint)

Perimeter on blueprint = 2 * (4 + 2.5) inches

Perimeter on blueprint = 13 inches

Therefore, the perimeter on the blueprint is 13 inches.

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14, 21

Step-by-step explanation:

Let the two consecutive multiples be 7n and 7(n+1).

Now, it is given that:

(7n)² + [7(n+1)]² = 637

Simplifying,

49n² + (7n+7)² = 637

49n² + 49n² + 2(7n)(7) + 49 = 637

(as (x+y)² = x² + y² + 2xy)

98n² + 98n + 49 = 637

98n² + 98n - 588 = 0

Dividing by 98 to further simplify,

n² + n - 6 = 0

Factorising, we get

n² + 3n - 2n - 6 = 0

n(n+3) - 2(n+3) = 0

(n+3)(n-2) = 0

Therefore we get n = -3 or n = +2.

Hence, we get the consecutive multiples as 14 and 21.

Feel free to ask if you didn't understand any part.

Hope this helps! :D

Essential security steps on all mobile devices include enabling device lock, keeping software updated, installing a reliable security app, and being cautious of app downloads.

On all mobile devices, the following are essential security steps:

1. **Enable Device Lock**: Set up a strong PIN, password, or biometric authentication (such as fingerprint or face recognition) to secure access to your mobile device. This step ensures that unauthorized individuals cannot gain access to your device if it gets lost or stolen.

2. **Keep Software Updated**: Regularly update the operating system (OS) and applications on your mobile device. Software updates often include security patches that address known vulnerabilities and protect against emerging threats. Enable automatic updates whenever possible to ensure you have the latest security enhancements.

3. Use a **Secure Lock Screen**: Choose a lock screen option that provides an extra layer of security, such as a PIN, password, or biometric authentication. This prevents unauthorized access to your device, even if it's momentarily left unattended.

Install a Reliable Security App**: Install a reputable mobile security app from a trusted source. These apps can help protect against malware, phishing attempts, and other security threats. They often include features such as antivirus scans, safe browsing, and anti-theft functionalities.

Enable Two-Factor Authentication**: Enable two-factor authentication (2FA) whenever possible, especially for important accounts like email, social media, or banking apps. 2FA adds an extra layer of security by requiring a second verification step, such as a unique code sent to your mobile device, in addition to your password.

Regularly Backup Data**: Backup your mobile device regularly to protect your data in case of loss, theft, or device damage. Utilize cloud-based services or external storage options to securely store your data off the device. Regular backups ensure that you can restore your information even if the device is compromised.

By following these essential security steps on all mobile devices, you can significantly enhance the protection of your personal information and mitigate potential security risks.

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Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

Answer:

125

Step-by-step explanation:

start with 10, and go backwards

10-6=4   4x100=400   400-150=250   250/2=125

checked answer:

125x2=250  250+150=400   400/100=4   4+6=10

Answer:

126

Step-by-step explanation:

It's 125

In linear equation, 60 hours does she spend on running in 30 days .

What in mathematics is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

                              The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

she runs =  12 miles

she take time to runs a mile  = 10 min.

 total time she take = 12 *   10  = 120 min.

  if she spend on running in 30 days =  120 * 30

                                                 = 3600 min

                                        1 hours = 60 min.

                                       3600 min  =  3600/60 ⇒ 60 hours

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The value of world exports in 2010 would be worth approximately 1,151 units. To determine the value of world exports in 2010, we need to use the information about the growth rate of world exports from 1965 to 2010.

Using the compound annual growth rate (CAGR) formula, we can find the growth rate: Growth rate = (Final value / Initial value)^(1/number of years). We know that the initial value (world exports in 1965) was 10 units. We can find the final value (world exports in 2010) by multiplying the initial value by the growth rate: Final value = Initial value * (1 + growth rate)^number of years.

We can use data from the World Bank to find the growth rate of world exports from 1965 to 2010. According to the World Bank, the value of world exports in 1965 was $131 billion (in current US dollars) and the value of world exports in 2010 was $16.2 trillion (in current US dollars). The number of years between 1965 and 2010 is 45.Growth rate = ($16.2 trillion / $131 billion)^(1/45) = 1.097

Final value = 10 units * (1 + 1.097)^45 ≈ 1,151 units

Therefore, the value of world exports in 2010 would be worth approximately 1,151 units.

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Answer:

1/3 of the container is filled

Step-by-step explanation:

1 times 3 = 3    3 divided by 3 = 1

The trigonometric identity that is true is:

sin G = cos I. Option D

First, we need to know that;

One acute angle in a right triangle has a sine value equal to the cosine value of the other acute angle.

From the information given, we have;

In a right scalene triangle GHI, where both angle G and angle I are acute, the value of sin G is equivalent to cos I.

Several alternatives, including sin G = sin I, cos G = cos I, tan G = tan I, sin G = tan I, sin G being the inverse of cos I, and cos G being the inverse of cos I, are invalid for a right scalene triangle with a known right angle.

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This is my answer......

Answer:

18

Step-by-step explanation:

maybe i dont really know

Answer:

This one is easy its y=3x-1.5

Step-by-step explanation:

I did this assignment

Answer:

Step-by-step explanation:

use substitution and solve this 8x+4(-2x+3)=12

with the 4 distributed its

8x-8x+12=12

then you can cancel out the 8x and -8x and switch the 12 over into a -12 canceling out the 12s making it x=0

Answer:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Step-by-step explanation: